PHY2464 - The Physical Basis of Music 4/18/2005 PHY -2464 PHY-2464 Physical Basis of Music Presentation Presentation 25 25 Sound Sound Reproduction Reproduction and and Synthesis: Synthesis: Distortion Distortion and and Its Its Correction Correction Adapted Adapted in in substantial substantial part part from from Sam Matteson’s Unit 4 Session Sam Matteson’s Unit 4 Session 39 39 Sam Sam Trickey Trickey April April 15, 15, 2005 2005 Pres. 25 Sound Reproduction & Synthesis – Distortion Microphone directional sensitivity : Omni ((-directional) microphone; Overhead plot PHY2464 - The Physical Basis of Music Pres. 25 Sound Reproduction & Synthesis – Distortion Microphone directional sensitivity : Cardioid microphone Pres. 25 Sound Reproduction & Synthesis – Distortion Microphone directional sensitivity : • “Omni” microphones are sensitive equally in all directions. • “Cardioid” microphones have a “heart-shaped” sensitivity plot ⇒ most sensitive in one direction • Directional sensitivity can be good (pick up the sound of a golf ball being driven) or bad (lower the level of a sound that was supposed to be detected.) 4/18/2005 PHY2464 - The Physical Basis of Music 4/18/2005 Pres. 25 Sound Reproduction & Synthesis – Distortion Amplification: Gain G = Vout / Vin Vout = G Vin Vout Vin device Pres. 25 Sound Reproduction & Synthesis – Distortion Distortion in amplification: Gain depends on amplitude Vout = G(Vin ) Vin Vout Vin device Non-linearity PHY2464 - The Physical Basis of Music 4/18/2005 Pres. 25 Sound Reproduction & Synthesis – Distortion Distortion in amplification: Gain saturates Vout = G Vin., if Vout< Vmax Vmax Vout Vin device Clipping Pres. 25 Sound Reproduction & Synthesis – Distortion Distortion in amplification: Gain frequency filtering Vout = G(f) Vin Vout device Low f gain High f gain Vin PHY2464 - The Physical Basis of Music 4/18/2005 Pres. 25 Sound Reproduction & Synthesis – Distortion Distortion in amplification: Gain frequency filtering Vout = G(f) Vin “Roll off” Log(Gain) Log(Frequency) Pres. 25 Sound Reproduction & Synthesis – Distortion Distortion in reproduction & amplification: ▫ Non- causes distortion of waveform by linearity: gain that depends on the amplitude of the signal. ▫ Clipping: extreme form of non-linearity - output reaches the maximum current or voltage the system can deliver. Adds spurious high frequency components to spectrum. ▫ Roll-off: gain drop-off with increasing frequency. Distorts upper frequency regime of spectrum. PHY2464 - The Physical Basis of Music 4/18/2005 Pres. 25 Sound Reproduction & Synthesis – Distortion Equalization “EQ”: Vout = G(f) Vin EQ Channels Vout = G(f) Vin* EQ(f) Log(Gain * EQ) Log(Gain) Log(Frequency) Pres. 25 Sound Reproduction & Synthesis – Distortion Equalization EQ in words: • Equalization is a gain adjustment in multiple frequency bands that compensates – at least approximately - for distortion due to gain and response variations with frequency in other parts of the system. PHY2464 - The Physical Basis of Music 4/18/2005 Pres. 25 Sound Reproduction & Synthesis – Distortion VU: • VU = abbreviation for “volume unit,” the electronic equivalent for Gain of dB. • Thus, 10 VU is 10 dB of gain or 10x; 20 VU is 20 dB of gain or 100x, etc. Distortion probable Clipping probable VU Pres. 25 Sound Reproduction & Synthesis – Distortion Feedback: • • Positive Feedback is the (generally) undesirable phenomenon in which the output “feeds back” back” into the input of a system. If the system gain is greater than one (1x), an uncontrollable oscillation results. In a sound reinforcement system (e.g., PA system) this is the source of the awful “squeal” squeal” or “shriek” shriek” Speaker Feedback Microphone PHY2464 - The Physical Basis of Music 4/18/2005 Pres. 25 Sound Reproduction & Synthesis – Distortion Positive Feedback: • To control positive feedback ⇒ break the feedback loop: • Reduce gain • Adjust EQ to reduce gain in offending band • Move microphone or use hypercardioid Speaker Feedback Microphone Pres. 25 Sound Reproduction & Synthesis – Distortion Microphone directional sensitivity: Cardioid vs. Hypercardioid Cardioid microphone Hypercardioid PHY2464 - The Physical Basis of Music 4/18/2005 Pres. 25 Sound Reproduction & Synthesis – Distortion Speakers: • “(Loud)speaker”: • An electro-acoustic transducer from electrical signals to sound. Input Current Pres. 25 Sound Reproduction & Synthesis – Distortion Speakers: • “CrossCross-Over Network” Network”: • An electrical network that shifts the electrical signal to the speaker in an array that is appropriate for a particular frequency range. Input CrossCrossOver High Tweeter Frequency Network Low Frequency Woofer PHY2464 - The Physical Basis of Music 4/18/2005 Pres. 25 Sound Reproduction & Synthesis – Distortion Speakers: • “Column Speaker” Speaker”: • An arrangement of speakers in which interference effects produce a “beam” beam” of sound. Pres. 25 Sound Reproduction & Synthesis – Distortion Speakers: • “Column Speaker” Speaker”: • An arrangement of speakers in which interference effects produce a “beam” beam” of sound. “Beam” PHY2464 - The Physical Basis of Music 4/18/2005 Pres. 25 Sound Reproduction & Synthesis – Distortion Speakers: • “Column Speaker” Speaker”: • A column speaker can be used to give more uniform sound reinforcement than from other speakers. ¾ of room 1/r2 Pres. 25 Sound Reproduction & Synthesis – Distortion Speakers: • “Distributed Sound” Sound”: • A sound reinforcement system in which the electrical signal is fed to a large number of distributed speakers. • Each speaker is fed with a calibrated delay relative to the preceding one Δt Δt Δt Δt PHY2464 - The Physical Basis of Music Pres. 25 Sound Reproduction & Synthesis – Distortion Summary: Distortion can be spatial, temporal, or frequency • dependent • “Cardioid” Cardioid” and “omni” omni” refer to the directional sensitivity of microphones. • Sound reinforcement requires amplification, characterized by gain. • Distortion results when the output waveform is a distorted version of the input. • EQ equalizes the response of a room and system by adjusting the gain of the amplifier for various frequency bands to offset distortions in the rest of the system. • VU are “volume units” units” = electronic gain equivalent to deciBels. . deciBels Pres. 25 Sound Reproduction & Synthesis – Distortion Summary (concluded): • • • • • Positive feedback is an uncontrolled rebroadcast (recycling) of the output sound. Loudspeakers are electro-acoustic devices that convert electrical signals into sound. A cross-over network shifts an electrical signal to the speaker appropriate for a specific freq. band. Column speakers use interference to produce a “beam” of sound. Distributed sound reinforcement is an array of individual speakers with calibrated time delays. 4/18/2005