Multirate Signal Processing

May 8th, 2015
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Applications of multirate signal processing Fundamentals decimation interpolation Resampling by rational fractions Multirate identities Polyphase representations Maximally decimated filter banks aliasing amplitude and phase distortion perfect reconstruction conditions

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Multirate SamplingModule 5 - Multirate Signal ProcessingPatrick A. NaylorDigital Signal Processing - p.1/25ContentsApplications of multirate signal processing Fundamentals decimation interpolation Resampling by rational fractions Multirate identities Polyphase representations Maximally decimated lter banks aliasing amplitude and phase distortion perfect reconstruction conditionsDigital Signal Processing - p.2/25IntroductionIn single-rate DSP systems, all data is sampled at the same rate no change of rate within the system. In multirate DSP systems, sample rates are changed (or are different) within the system Multirate can offer several advantages reduced computational complexity reduced transmission data rate.Digital Signal Processing - p.3/25Example: Audio sample rate conversionrecording studios use 192 kHz CD uses 44.1 kHz wideband speech coding using 16 kHz master from studio must be rate-converted by a factor 44.1 192Digital Signal Processing - p.4/25Example: Oversampling ADCConsider a Nyquist rate ADC in which the signal is sampled at the desired precision and at a rate such that Nyquist's sampling criterion is just satised. Bandwidth for audio is 20 Hz < f < 20 kHz Antialiasing lter required has very demanding specication |H(j?)| = 0 dB, f < 20 kHz |H(j?)| < 96 dB, f ? 44.1 kHz 2Requires high order analogue lter such as elliptic lters that have very nonlinear phase characteristics hard to design, expensive and bad for audio qu

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