0. Question Marks Co. No. BL 1. Sampling theorem finds application in (a) Amplitude modulation (b) Frequency modulation (c) PCM (d) FSK 1 CO 1 1 2. If sampling time is greater than the Nyquist interval, then: (a) Bandwidth increases (b) Channel capacity increases (c) Guard time reduces (d) Overlapping is occurred 1 CO1 2 3. In communication systems, sampling technique leads to: (a) High cost (b) Better efficiency (c) Higher speed of communication (d) simpler operation 1 CO1 1 4. For a bandlimited signal with bandwidth W, Nyquist sampling frequency fs satisfied the condition: (a) ππ ≥2π 1 CO1 2 1 CO2 1 1 CO2 2 (b) ππ ≥ π (c) π ≤2π π (d) ππ ≤ π 5. 6. Flat top sampling of low pass signals produces (a) Oversampling (b) Aliasing (c) Aperture effect (d) Delay distortion In PCM, the quantization noise depends on (a) sampling rate (b) number of quantization level (c) signal power frequency (d) signal 7. Quantizing noise occurs in (a) Time-division multiplex (b) Frequency division multiplex (c) Pulse code modulation (d) Pulse-width modulation 1 CO1 1 8. PCM generation requires a LPF at the beginning because: (a) To eliminate aliasing effect (b To eliminate quantization noise (c) To eliminate decoding noise (d) To eliminate crosstalk 1 CO1 2 9. The maximum quantization error in PCM , with number of quantization level ‘q’ is: (a) 1/q 1 CO1 3 1 CO1 3 To avoid aliasing, what is the Nyquist rate of this signal x ( t) = 8 cos 200 wt ? (a) 50 Hz (b) 100 Hz (c) 200 Hz (d) 400 Hz. 1 CO1 3 12 In a 7-bit PCM system output signal to quantization ratio for sinusoidal modulating signal will be (a) 54.6 dB (b) 42.5 dB (c) 43.8 dB (d) 34.4 dB 1 CO2 4 13 If the number of bits per sample in a PCM system is 1 CO2 4 (b) 2/q (c) 2/q (d) 4/q 10 How many bits would be required to represent a 256 level quantization in PCM? (a) 6 (b) 8 (c) 5 (d) 7 11. increased from n to n+1, the improvement in signal to quantization noise ratio will be. (a) 3 dB (b) 6 dB (c) 2n dB (d) n dB 14 The standard data rate of a PCM voice channel is (a) 8 kbps (b) 8 bps (c) 16 kbps (d) 64 kbps 1 CO1 1 15 A PAM signal can be detected by using (a) an ADC (b) an integrator (c) a bandpass filter (d) a highpass filter 1 CO1 1 16 Time division multiplex: (a) Stacks several channels in adjacent frequency slots (b) Interleaves pulses belonging to different transmissions (c) Combine 5 groups into a single super group (d) Can be used with PCM only. 1 CO1 1 17 The maximum frequency present in one PCM signal is fm, then for proper detection the message signal sampling rate fs should follow the relation (a) fs =fm (b) fs>fm (c) fs ≥ 2fm (d)fs = 1 CO1 2 18 Companding is used: (a) To protect small signals in PCM from quantizing distortion (b) To overcome quantized noise in PCM (c) To overcome impulse noise (d) To overcome white noise 1 CO1 1 19 Which of the following system is digital modulation? (a) Pulse-position modulation 1 CO1 1 fm/2 (b) Pulse-code modulation (c) Pulse-width modulation (d) Pulse-frequency modulation 20 Delta modulator is called: (a) One-bit DPCM (b) Two-bit DPCM (c) Half-bit PCM (d) One level DPCM 1 CO2 1 21 Slope overload occurs in (a) PCM (b) DM (c) ADM (d) DPCM 1 CO2 1 22 ADM involves additional hardware designed to provide variable step size: (a) Reducing slope-overload effects (b) Reducing granular noise (c) both (a) and (b) (d) Reducing SNR 1 CO2 2 1 CO2 2 23 In DM slope overload condition is: a. Maximum DM slope maximum signal slope b. Maximum DM slope< maximum signal slope c. Both (a) and (b) d. None of these 24 In DM granular noise can be avoided by (a) reducing step size of quantizer (b) by reducing sampling rate (c) increasing step size of quantizer (d) None of these 1 CO2 2 25 Which of the following techniques is most suitable for transmission of speech? (a) M-ary pulse modulation waveforms (b) Line codes (c) DPCM waveforms (d) ADPCM waveforms 1 CO2 2 26 Which system is effective to reduce cumulative error? (a) PCM (b) DPCM (c) Delta Sigma Modulation (d) ADM 1 CO1 1 27 To avoid slope overload in delta modulation, the maximum value of signal amplitude will be (a) βfs 1 CO2 2 (b) B/s (c) βfs/B (d) fs/B Where, β - step size, fs- sampling frequency, B – signal frequency 28 Split-phase Manchester format represents (a) Successive 1s are represented by pulses with alternating polarity (b) 1s with a positive half-interval pulse followed by a negative half-interval pulse (c) Each 1 by an “on” pulse for full bit duration (d) Each 1 by an “on” pulse for half bit duration 1 CO2 2 29 Scrambling is a coding operation applied to the message at: (a) The transmitter (b) The receiver (c) The channel (d The transmitter and receiver both 1 CO1 1 30 Source coding in a data communication is done in order to (a) Enhance information transmission rate (b) Reduce transmission rate (c) Conserve transmission power (d) Facilitate clock recovery 1 CO1 1 If a voice frequency signal is sampled at a rate of 32,000 samples per second and characterized by peak value of 2 volts at a delta modulator. Calculate SNR. Bandwidth is 4 KHz. a) 19.45 b) 2.57 c) 19.59 d) 1.67 32 A compact disc records audio signals digitally by using PCM. Assume the audio signal bandwidth to be 15 KHz. What is Nyquist rate? a) 30 KHz b) 35 KHz 1 CO2 4 31 c) 3.57 KHz d) 18 Khz If the Nyquist samples are quantized into L=65,536 levels and then binary coded, determine the number of binary digits required to encode a sample. a) 16 b) 9 c) 8 d) 7 Determine the number of binary digits per second required to encode the audio signal. (a) 240 K bits/sec (b) 340 K bits/sec (c) 17 K bits/sec (d) 68 K bits/sec. 33 For practical reasons, the signals are sampled at a rate well above Nyquist rate at 44,100 samples per second. If L=65,536, determine the number of bits per second required to encode the signal. (a) 740 K bits/sec (b) 340 K bits/sec (c) 705.6 K bits/sec (d) 680 K bits/sec. 1 CO2 4 34 The maximum quantization error in PCM , with number of quantization level ‘4’ is: (a) 1/4 (b) 2 (c) 4 (d) 1 2 CO2 3 35 How many bits would be required to represent a 256 level quantization in PCM? (a) 6 (b) 8 (c) 5 (d) 7 2 CO2 3 36 To avoid aliasing, what is the Nyquist rate of this signal x ( t) = 8 cos 200 wt ? (a) 50 Hz (b) 100 Hz (c) 200 Hz (d) 400 Hz. 2 CO1 3 37 In a 7-bit PCM system output signal to quantization ratio for sinusoidal modulating signal will be (a) 54.6 dB 2 CO2 3 (b) 42.5 dB (c) 43.8 dB (d) 34.4 dB 38 If the number of bits per sample in a PCM system is increased from n to n+1, the improvement in signal to quantization noise ratio will be. (a) 3 dB (b) 6 dB (c) 2n dB (d) n dB 2 CO2 3 39 The length of the PN sequence with 4-stage register is: (a)10 (b) 15 (c)7 (d) 16 2 CO1 3 40 The number of bits per sample in a PCM system is increased from 8 to 16. The bandwidth of the system will increase a) 8 times b) 2 times c) 6 time d) 28 times. 2 CO2 3 41 In a PCM system, the number of quantization levels is 16 and the maximum signal frequency is 4 kHz, the bit transmission rate is (a) 64 kbps (b) 32 kbps (c) 16 kbps (d) 8 kbps 2 CO2 3 42 A delta modulation system is designed to operate at 3 times the Nyquist rate for a signal with a 3 kHz bandwidth. The quantization step size is 250 mv. Find the maximum amplitude of a 1 kHz input sinusoid for which the delta modulator does not show slope overload. (a) 0.5 volt (b) 0.1 volt (c) 0.2 volt (d) 0.71 volt 2 CO2 3 43 A delta modulation system is designed to operate at 3 times the Nyquist rate for a signal with a 3 kHz bandwidth. The quantization step size is 250 mV. Find the SNR for a 1 kHz input sinusoid for which the delta modulator does not show 2 CO2 3 slope overload. (a) 24.5 dB (b) 21.5 dB (c) 22.5 dB (d) 23.5 dB 44 A binary channel with rb=36,000 bits/sec is available for PCM voice transmission. Find appropriate values of number of bits per quantization level (ν) assuming W= 3.2 kHz. a) 3 b) 2 c) 7 d) 5 2 CO2 3 CO2 3 2 CO2 3 47 A television signal having a BW of 4.2 MHz is transmitted using a binary PCM system. Number of quantization levels used is 512. Determine Codeword length a) 2 b) 5 c) 6 d) 9 2 CO2 3 48 A television signal having a BW of 4.2 MHz is transmitted using a binary PCM system. Number of quantization levels used is 512. Determine Transmission bandwidth 2 CO2 3 2 CO2 3 45 A binary channel with rb=36,000 bits/sec is available for PCM voice transmission. Find appropriate values of quantization level (q) assuming W= 3.2 kHz. a) 32 b) 25 c) 26 d) 64 46 A binary channel with rb = 36,000 bits/sec is available for PCM voice transmission. Find appropriate values of sampling frequency (fs) assuming W= 3.2 kHz. a) 7.6 KHz b) 7.8 KHz c) 6.2 Khz d) 7.2 KHz a) 27.8 MHz b) 37 MHz c) 34.8 MHz d) 37.8 MHz 49 A television signal having a BW of 4.2 MHz is transmitted using a binary PCM system. Number of quantization levels used is 512. Determine Output signal to quantization ratio a) 12·45 dB b) 26·5 dB c) 2·6 dB d) 58.8 dB 50 A television signal having a BW of 4.2 MHz is transmitted using a binary PCM system. Number of quantization levels used is 512. Determine final bit rate 2 CO2 3 51 A communication channel of bandwidth 75 KHz is required to transmit binary data at the rate of 0.1 Mbps using Raised cosine pulse. Determine the corresponding roll-off factor. a) 5.4 b) 0.22 c) 4.1 d) 0.5 2 CO4 3 52 2 CO2 3 2 CO2 3 54 A voice frequency signal band limited to 3 KHz is transmitted with the use of the DM system. The pulse repetition frequency is 30000 pulses per second, and the step size is 40 mV. Determine the maximum permissible speech signal amplitude to avoid a slope overload. a) 63.69 mV b) 53.59 mV c) 26.69 mV d) 56.89 mV 2 CO2 3 55 The analog voltage waveform has a BW of 4 KHz and an amplitude range of – 3.8 to + 3.8 volts. It has the average power of 30 mili Watt and the required SNR is 20 dB. Find the number of bits in each PCM word required. a) 6 b) 7 c) 2 d) 5 56 The SNR for 16 quantization levels is 20 dB; find the SNR in normal scale. 2 CO2 3 2 CO2 3 a) 75.6 Mbits/s c) 75.9 Mbits/s b) 78.6 Mbits/s d) 65.6 Mbits/s Consider an audio signalππ(π‘) = 2πππ (100ππ‘).Find the signal-to-quantization noise ratio when the signal is quantized using 8-bit PCM. a) 49.8 dB b) 42·5 dB c) 52·6 dB d) 32·7 dB 53 Consider an audio signalππ(π‘) = 2πππ (100ππ‘). How many bits of quantization are needed to achieve a signal-to-quantization noise ratio of at-least 30 dB? a) 6 b) 7 c) 2 d) 5 a) 69 b) 97 c) 100 d) 115 57 Given the signal m(t)=10 Cos(400πt). Cos (100πt), find the minimum sampling rate based on the band pass sampling theorem. a) 450 Hz b) 600 Hz c) 400 Hz d) 500 Hz 2 CO2 3 58 A television signal has a bandwidth of 4.5 MHz. This signal is sampled and converted into a PCM signal. Determine the sampling rate if the signal is to be sampled at a rate 20% above the Nyquist rate. a) 10.8 MHz b) 8.8 MHz c) 8.9 MHz d) 7.8 MHz 2 CO2 3 59 A television signal has a bandwidth of 4.5 MHz. This signal is sampled and converted into a PCM signal. The signal is to be sampled at a rate 20% above the Nyquist rate. If the samples are quantized into 1024 levels, determine the number of binary pulses required to encode each sample. 2 CO2 3 60 A television signal has a bandwidth of 4.5 MHz. This signal is sampled and converted into a PCM signal. The signal is to be sampled at a rate 20% above the Nyquist rate. If the samples are quantized into 1024 levels, calculate system bit rate. a) 18 MHz b) 108 MHz c) 88 MHz d) 10.8 MHz 2 CO2 3 61 A binary PCM system uses a uniform quantizer and 7-bit binary encoder. If the bit rate is 50 Mb/s, what is the maximum bandwidth for which the system will operate satisfactorily? a) 1.8 MHz b) 35 MHz c) 3.57 MHz d) 18 MHz 2 CO2 3 a) 10 b) 9 c) 8 d) 7 62 29. If a voice frequency signal is sampled at a rate of 32,000 samples per second and characterized by a peak value of 2 volts, determine the value of step size to avoid slope overload problem. Bandwidth is 4 KHz. a) 1.57 Volt c) 1.5 Volt CO2 3 2 CO2 3 b) 2.57 Volt d) 1.67 Volt 63 30. If a voice frequency signal is sampled at a rate of 32,000 samples per second and characterized by a peak value of 2 volts at a delta modulator. Calculate quantization noise power. Bandwidth is 4 KHz. a) 0.822 W b) 0.722 W c) 0.882 W d) 0.832 W 64. 2 What do you mean by PDF, conditional PDF and explains 5 3 1 65 What is mean or average and importance of Gaussian 5 3 1 distribution? 66 Prove that P(Δ)=1-P(A) 5 3 3 67 Explain the relationship between random variables and 5 3 2 random process. 68 The PDF of a random variable is given as 5 3 3 A certain computer becomes inoperable if two 5 3 3 their significance? ƒπ(π₯) = πΎe−ππ₯ =0 ƒoπ π₯ ≥ 0 ƒoπ π₯ < 0 πππ πΎ, π > 0 1. Find the value of K in terms of b. 2. Find mx and π2. 69 π₯ components A and B both fail. The probability that A fails is 0.01 and the probability that B fails is 0.005. However, the probability that B fails increases by a factor of 3 if A has failed. a. Calculate the probability that computer becomes inoperable. Find the probability that A will fail if B has failed. the 70 Consider a random sinusoidal signal π₯(π‘) = 5 3 3 sin(πOπ‘ + π), where a random variable ′π′ is π uniformly distributed in the range ± 2. Find the 71 mean value of x(t). Find the autocorrelation function of a real 5 3 2 72 valued time signal. The autocorrelation function π π₯(π)satisfy the 5 3 5 73 property π π₯(π) = π π₯(−π). Prove it. Find the autocorrelation function π π₯(π) of the 5 3 3 74 signal π₯(π‘) = Vsin(ππ‘) A binary source generates 1 and 0 randomly with 5 3 3 3 3 3 3 3 3 probabilities 0.6 and 0.4, respectively. What is the probability that at least three 1’s will occur in a five digit sequence? 75 Given the PDF of a random variable X is: ƒ(π₯) = { π, π ≤ π₯ ≤ π 5 , where k is a constant. 0, oπ‘βeπwiπ e 76. Determine the value of k 77. If a= -1 and b=2, then for c=1/2, find π(|π₯| ≤ π) 78 The input X to the Binary Symmetric Channel (BSC) 5 shown in the figure is ‘1’ with probability 0.8. The crossover probability is 1/7. If the received bit Y = 0, determine the conditional probability that ‘1’ was transmitted. 79 The PDF of a Gaussian random variable X is given by Find the probability of the event {X=4} 5 80 X(t) is a WSS process with zero mean. 5 3 3 5 3 3 5 3 3 83 For a random variable ‘X’ following the probability density 5 function, p(x), shown in figure, the mean and the variance are, respectively 3 3 84 A maze has eight areas as shown below. 3 3 Y(t)=∑2 k=O X(π‘ + π). PSD of X(t) is given as 2 SX(ω)=1+π2 . Find Variance of Y(t). 81 Consider a Random Process , X(t) = 3V(t) -8, where V(t) is a zero mean stationary process with autocorrelation RX (τ) = 4. e−5|π|. Determine the power of X(t). 82 . An output of a communication channel is a random variable v with the probability density function as shown in the figure. Find the mean square value of v. The rat moves through the areas in the maze at random. That is, if an area has exits to areas, the rat moves to each of these areas with probability . Let be the area the mouse is located in after the th move. Then find transition probability matrix.ofMarkov chain 5 85 Given that 5 3 4 5 3 4 5 3 4 Determine the following conditional probabilities: β β β 86 Consider a Markov chain with the following transition probability matrix. Suppose that initially the Markov chain is in state 0 50% of the time, in state 1 30% of the time and in state 2 20% of the time. Calculate the probability 87 When a binary digit, 0 or 1, is transmitted through a communication system, it passes through several stages. At each stage, there is a probability that the digit is transmitted in error. Let be the digit that is the output at the the stage. Then is a two- state Markov chain with the following transition probability matrix. Determine the following: β If the digit to be sent is 0, determine the probability that no error occurs up to the second stage. β If the digit to be sent is 0, determine the probability that a correct message is received at stage 2 through stage 4. 88 Derive Chapman-Kolmogorov equations for -step transition probability 5 3 2 5 3 2 5 3 3 5 6 2 5 6 1 5 6 1 decision rule. 94 . Define orthogonal signal space and orthogonal vector 5 6 2 89 Consider a Markov chain with the following transition probability matrix. Determine and 90 Consider a Markov chain with the following transition probability matrix. Suppose that initially the process is equally likely to be in state 0 or state 1. Determine and 91. . Mention the importance of signal space representations. 92 Write a short note on Gram- Schmidt orthogonalization procedure. 93 Write a short note on maximum likelihood space. Bring out clearly its applications in representing a signal and vector respectively. 95 Explain how functions can be approximated using 4 6 4 2+5 6 2 4+4 6 3 4 6 2 2+1 6 2 100. Discuss the orthogonality in complex signals. 5 6 2 101. State and explain sampling theorem for band 5 1 1 5 1 2 5 1 2 5 1 2 5 1 3 orthogonal functions. 96 Define the error function while approximating signals and hence derive the expression for condition for orthogonality between two waveforms f1(t) and f2(t) 97. (a) 98. (a) Using the Gram-Schmidt orthogonalization, find an orthonormal basis for s1(t) to s4(t). (b) Determine the signal vectors for this orthonormal basis. Why and When is the representation of a signal space in a vector space useful? 99. How can you determine if two signals are orthogonal? What is the angle between orthogonal signals? limited signals. are the different 102. What kinds of sampling operations and explain them with suitable circuits? 103. Explain the cause of the aliasing problem and how this problem can be overcome? 104. What are the different kinds of pulse modulations and explain them with suitable waveforms? 105. Show that the transmission BW requirement for PAM signal is much higher than the modulating signal. 106. Describe the generation of PAM signal with 5 1 1 5 1 3 5 1 2 109. A binary channel with rb=36,000 bits/sec is available for 5 1 3 5 1 3 (c) Output signal to quantization ratio (a) Explain the need for non-uniform quantization. 5 1 3 5 1 2 5 1 2 5 1 2 5 1 2 suitable circuit diagram. 107. For PAM transmission of a voice signal having fm=3 KHz, calculate the required transmission BW. Given that fS=8 KHz and width of carrier pulse ο=0.1TS. 108. Explain operation of a uniform quantizer and mention its drawbacks. PCM voice transmission. Find appropriate values of ν, q, and fs assuming W= 3.2 kHz. 110. A television signal having a BW of 4.2 MHz is transmitted using a binary PCM system. Number of quantization levels used is 512. Determine (a) Codeword length (b) Transmission bandwidth 111. What are the laws associated with it? (b) For an n-bit PCM system prove that signal to quantization noise ratio in dB is given by (S/N) = 1.76 +6.02n for a full scale sinusoidal modulating signal with amplitude v volts. 112. Explain the need and operation of companding technique. 113. Explain the operation of a linear predictor block in 114. DPCM system How SNR performance is improved in DPCM system compared to the PCM system? 115. What is the basic difference between DM and DPCM? Explain that the performance of a DM system is superior to a DPCM system. 116. Explain that the performance of an ADM system is 5 1 2 117. What are the desirable properties of line codes? 5 2 1 118. For the given data stream 1110010100, 5 2 2 5 2 2 5 2 2 5 1 2 5 1 3 A communication channel of bandwidth 50 KHz is 5 2 3 1 3 superior to a DM system. Sketch the transmitted sequence of rectangular pulses for each of the following line codes: a. Unipolar NRZ b. Unipolar RZ c. Polar RZ d. Polar NRZ e. Manchester the implication 119. Explain of “Intersymbol Interference” in digital communication. 120. What do you mean by eye pattern? What information do we get from it? How can it be generated using CRO? 121. Write the statement of the sampling theorem and derive the expression of the interpolation formula regarding reconstruction from sampled signal. 122. A TV signal has a bandwidth of 4.5 MHz.Thesignal is sampled and converted into PCM signal. Determine the sampling rate if the signal is to be sampled at a rate of 20% above Nyquist rate. 123. required to transmit binary data at the rate of 500 kbps using Raised cosine pulse. Determine the corresponding roll-off factor. 124. (a) State sampling theorem. What is the Nyquist rate of sampling? (b) Explain with suitable block diagram how an analog signal is converted into a digital signal using a PCM system. (c) A television signal has a bandwidth of 4.5 MHz. This signal is sampled and converted 15 into a PCM signal. (i) Determine the sampling rate if the signal is to be sampled at a rate 20% above the Nyquist rate. 125. If the samples are quantized into 1024 levels, determine the number of binary pulses required to encode each sample. (a) Discuss the generation of time division 15 multiplexed PAM signal and calculate 1 3 1 3 the transmission B.W requirement for PAM/TDM system. (b) Write the advantages and disadvantages of TDM over FDM. (c) 24 voice signals are multiplexed and transmitted using the PAM/TDM system. The sampling operation uses flat top samples with 1µs duration and there is a provision of synchronization by adding an extra pulse of duration 1 µs. The highest frequency component of voice signal is 3.4 KHz. Assuming fS=8 KHz calculate spacing between pulses of multiplexed signal and required transmission B.W. 126. (a) “Pulse modulation system is not digital; 15 whereas, pulse-code modulation is.”- justify. (b) Discuss why PCM is more noiseresistant than the other forms of pulse modulation. (c) Derive the expression of noise power and PCM system with uniform quantizer. (d) A binary PCM system uses a uniform quantiz bit rate is 100 Mb/s, what is the maximum band operate satisfactorily? Determine the output signal full load sinusoidal modulating wave of frequency 1MHz is applied to the input. 127. (a) Why is companding used? Describe μ- law 15 1 3 (ii) How many bits of quantization are needed to achieve a signal-to-quantization noise ratio of at-least 30 dB? (a) Describe A/D conversion using delta 15 1 3 1 3 2 2 and A-law companding. (b) (c) Describe the operation of a DPCM system. Consider an audio signal em (t) = 2 cos(100πt) . (i) Find the signal-to-quantization noise ratio when the signal is quantized using 8- bit PCM. 128. modulator. Mention the limitations of the DM system and explain the overcome procedure. (b) What is the dynamic range of a Delta modulator? Establish its relationship with step size β. (c) A voice frequency signal band limited to 3 KHz is transmitted with the use of the DM system. The pulse repetition frequency is 30000 pulses per second, and the step size is 40 mV. Determine the maximum permissible speech signal amplitude to avoid a slope overload. 129. (a) What will be the practical difficulties if 15 fS=2fm? (b) Explain how adaptive delta modulation improves the system's tolerance to slope overload? (c) The spectral range of a band pass signal extends from 10.0 MHz to 10.4 MHz. Find the minimum sampling rate. 130. (a) Consider the unipolar binary RZ signal with p(t)=Π(2rbt). Determine an expression of the power spectrum of a unipolar RZ signal. (b)Consider the unipolar binary NRZ signal with p(t)=Π(rbt). Show that the only impulse in 15 Gx(f) is at f=0. (c) Write a short note on Regenerative repeater. 131. (a) Explain the Nyquist criterion for zero 15 4 3 15 4 2 15 1 2 15 1 3 intersymbol interference (ISI) in respect to time and frequency domain? (b) What are the limitations of an ideal solution and how can it be solved with the help of Raised Cosine Function? (c) A communication channel of bandwidth 75 KHz is required to transmit binary data at a rate of 0.1 Mbps using raised cosine pulses. Determine the roll of factor α. 132. (a) What do you mean by matched filter for digital reception? (b) Derive an expression for error probability of a matched filter. (c) State and explain Nyquist criterion for zero ISI. 133. (d) What is the role of an equalizer? (a) With a neat block diagram, explain the generation and reception of delta modulation. (b) What are the limitations of DM? How can these be solved? (c) For a sinusoidal signal (A coswt), find the condition for no slope overload if step size is and sampling period is T. 134. (a)Draw a practical Linear Delta Modulator (LDM) circuit and explain its operation. b) Explain the limitations of LDM. c) How are limitations of LDM overcome in ADM? d) Determine the output SNR of a LDM system for 2 kHz sinusoidal input signal sampled at 64 kHz. Slope overload distortion is not present and reconstruction filter has a bandwidth of 4 kHz. 135. a) A PCM system uses a uniform quantizer 15 1 3 15 1 1 5x6 1 2 5 2 followed by an n bit encoder. Show that if the input to the system is a sinusoidal signal then SNR IS approximately given by (1·8 + 6 n) dB. b) Explain the role of companding in pulse code modulation. c) The information in an analog signal waveform is to be transmitted over a PCM system with an accuracy of ± 0·1% (full scale). The analog voltage waveform has a BW of 100 Hz and an amplitude range of - 10 to + 10 volts. Find the number of bits in each PCM word. Also find the minimum bit rate in the PCM signal and minimum transmission bandwidth required. 136. a) Define line coding. Write the properties of line coding.(1+4) b) What is Companding? Why is it needed in digital communication? (2+3)c)What is meant by A-law and µ law and where are they used? (5) 137. Short Notes : (a) Differential encoding (b) Linear prediction coder (c) Regenerative repeater. (d) Zero forcing equalizer (e) Inter symbol Interference 138. (f) Adaptive Delta Modulation For a given binary sequence 00111001 draw the ASK, BPSK, BFSK and QPSK modulated 5 waveform. 139. What are the merits and demerits of DPSK over BPSK ? 5 5 2 140. Compare the performances of BPSK, QPSK and 5 5 4 141. OQPSK system. Compare the performances of MSK and GMSK 5 5 4 system. State advantages and disadvantages of M-ary PSK. 5 5 2 With a neat block diagram, explain the 5 5 2 142. 143. modulation and demodulation of BPSK. 144. State advantages and disadvantages of M-ary 5 5 2 145. PSK Why is the DPSK scheme of carrier modulation 5 5 4 5 5 4 5 4 5 2 5 2 used? Compare the bandwidth and probability of error of QPSK, BPSK and BFSK. 146. Compare QPSK and OQPSK systems with respect to the following factors: i) Timing Diagram ii) I - Q Diagram 147. iii)iii) Non-linearity handling capability a) With the help of a simplified diagram explain the 15 working of ASK modulator. (b) Sketch the binary ASK, FSK & PSK waveform for the following bit sequence 0110101001 (c) Derive the relation for error probability 148. of binary ASK. (a) Explain the working of the coherent ASK 15 receiver and obtain the expression for probability of error. 149. (b) Why are non-coherent ASK receivers simpler than coherent ASK receivers? (c) (c) Why is FSK preferred over ASK? Give reasons. (a) Explain the working principle of PSK, and 15 draw the modulator and demodulator block diagram. (b) Draw the signal space representation and obtain the expression for probability of error for BPSK. 150. (a) Mention the drawbacks of coherent 15 5 2 Draw the block diagram for generation 15 5 2 5 2 5 2 5 2 detection of BPSK signals. (b) Generate the differentially encoded sequence fori/p binary sequence 10110110 (b) Draw the block diagram of a DPSK transmitter and receiver and explain the generation and detection of DPSK signals. 151. (a) and detection of the BFSK signal and explain clearly its operation. (b) Draw the signal space representation and find the distance between symbols. (c) Obtain the expression for probability of 152. error for BFSK. (a) Draw the block diagram of a QPSK transmitter 15 and receiver and explain the generation and detection of QPSK signals. Show its signal space representation and the QPSK modulated waveform for i/p sequence 01110010. (b) Compare QPSK with BPSK in terms of their error probability. (c) List the advantages and disadvantages of DPSK modulation techniques. a) Draw the block diagram for generation and 15 153. detection of the BFSK signal and explain its operation clearly. (b) Draw the signal space representation and find the distance between symbols. (c) What is the difference between MSK 154. a) and QPSK? Draw the block diagram for generation and 15 noncoherent detection of BFSK signals and explain the principle. b) In a communication system a QPSK transmitter is used to transmit the data generated by a DM system which takes 10 kHz sinusoidal input and samples it at a rate 4 times greater than theNyquist rate. Determine the bit rate of the DM system and baud rate of output QPSK symbol. c) What is the difference between MSK and QPSK? 155. Short Note : Gaussian Minimum Shift Keying (GMSK) Orthogonal Frequency Division Multiplexing Matched Filter Minimum Shift Keying (MSK) 15 5 2