TUTORIAL CHAPTER 2
1. Sketch the following sequence
2. Assume we have a DSP system with a sampling time interval of 125
microseconds.
a. Convert each of following analog signals x(t) to a digital signal x(n):
b. Determine and plot the sample values from each obtained digital function.
3. Determine whether the below linear system are time invariant:
4. Assume we have a linear time-invariant system
with an initial condition x (-1) = 0
a. Determine the unit-impulse response h(n)
b. Draw the system block diagram.
c. Write the output using the obtained impulse response
5. Consider a sequence
where k is the time index or sample number
a. Sketch the sequence h(k) and reversed sequence h(-k)
b. Sketch the shifted sequences h (-k+ 3) and h ( -k -2 )
6. Using the sequences defined in Figure 1 below, evaluate the digital convolution
a. By the graphical method.
b. By applying the formula directly.
Figure 1: Plots of digital input sequence and impulse sequence