How to perform convolution using polyphase structure

1. What is a polyphase structure?
2. How does a polyphase filter work?
3. What is polyphase interpolation filter?
4. What is polyphase implementation?

What is a polyphase structure?

A polyphase quadrature filter, or PQF, is a filter bank which splits an input signal into a given number N (mostly a power of 2) of equidistant sub-bands. These sub-bands are subsampled by a factor of N, so they are critically sampled.

How does a polyphase filter work?

A polyphase filterbank uses the DFT (discrete fourier transform) to modulate (move in frequency) a prototype filter and perform summation, effectively returning multiple bands of decimated and filtered time-domain data from the DFT stage. The DFT operation is typically performed using the FFT (fast fourier transform).

What is polyphase interpolation filter?

With the modified implementation, the input samples to the filter is clocked at the original sampling rate of . However, we need to have additional circuitry to dynamically load the coefficients and latch the output at the upsampled frequency . These filtersets are called polyphase filters.

What is polyphase implementation?

The Polyphase implementation is a multi-rate filter structure. combined with a DFT designed to extract subbands from an. input signal.