Question

Determine y(n) in terms of x(n) for the following multirate system:

Answer 1

.1 Multirate Signal Processing

In a multirate system, the signal samples are processed and manipulated at different clock rates at various points in the configuration. Typically, the band-limited analog signal is sampled at the Nyquist rate to generate what we call the full band signal {x(n)}, with a spectral content from zero to half the sampling frequency. These signal samples can then be manipulated either at higher or lower clock rates by a process called interpolation or decimation. The signal must be properly conditioned by filters prior to or after sampling rate alteration. These operations provide the framework for the subband signal decomposition of th