Frequency sampling digital filters for multirate applications and pipelined implementations
Under certain circumstances, narrowband linear phase filters can be implemented more efficiently using frequency sampling filters than direct convolution filters. The desired frequency response of a frequency sampling filter is approximated by interpolating a frequency response through a set of frequency samples. The implementation of a frequency sampling filter contains unit delays in its feedback paths. Therefore, it cannot be pipelined or efficiently used in multirate applications. In this thesis, a frequency sampling filter that has only delays of length D in it feedback paths is developed. The new frequency sampling filter can be pipelined and efficiently used in multirate applications.