Mulirate Signal Processing

EEE305, EEE801 Part A: digital Signal Processing Chapter 9: Multi calculate digital Signal Processing Chapter 9 Multirate digital Signal Processing 9.1 Introduction Multirate systems have gained popularity since the soonest 1980s and they argon normally utilise for audio and picture processing, communications systems, and transform digest to name but a few. In most applications multirate systems ar used to improve the performance, or for increased computational efficiency. The devil basic operations in a multirate system are decreasing (decimation) and increasing (interpolation) the consume-rate of a signal. Multirate systems are sometimes used for sampling-rate conversion, which involves both decimation and interpolation. 9.2 Decimation Decimation can be regarded as the discrete-time counterpart of sampling. Whereas in sampling we rise with a continuous-time signal x(t) and transfigure it into a sequence of samples x[n], in decimation we cabbage with a discrete-time signal x[n] and convert it into another discrete-time signal y[n], which consists of sub-samples of x[n]. Thus, the even out gown definition of M-fold decimation, or down-sampling, is defined by compare 9.1. In decimation, the sampling rate is reduced from Fs to Fs/M by discarding M 1 samples for all M samples in the genuine sequence.

y[n] = v[nM ] = k = ?? ? h[k ]x[nM ? k ] digital anti-aliasing filter x[n] v[n] h[k] ?M Sampling-rate compressor y[n] ? (9.1) Fs Fs/M bonk 9.1: give up plot notation of decimation, by a factor of M. The handicap draw notation of the decimation process is depict in turn 9.1. An anti-aliasing digital filter precedes the down-sampler to prevent aliasing from occurring, due to the lower sampling rate. The way out of aliasing in decimated signals is covered in more circumstance in Section 9.4. In Figure 9.2 below, it illustrates the concept of 3-fold decimation i.e. M = 3. Here, the samples of x[n] identical to n = , -2, 1, 4, and n = , -1,...If you sine qua non to get a near essay, order it on our website: Ordercustompaper.com

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