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Performing finite sums of products is the foundation of digital signal processing (DSP). This paper describes the architecture and two applications of the DSP56200, an algorithm-specific, as opposed to application-specific, digital signal processor peripheral. The DSP56200 implements the finite sum of products and the least mean square (LMS) coefficient update algorithms. Echo cancellation and polyphase sample rate conversion filters are the applications discussed. The requirements of voice-echo cancelers are contrasted with those of data-echo cancelers. Both polyphase interpolators and decimators are described.