Decimation and Sampling Rate Reduction

Decimation reduces a sampled sequence by keeping every N-th sample. At those integer multiples of N, the original and reduced sequences match. This makes the sequence shorter and more efficient for digital signal processing.

The Fourier transform of a decimated sequence is not just a simple copy ...

Consider a sampled sequence with zero values between sampling instants. Replace it by taking every N-th value of the sampled sequence.

The original and sampled sequences are equal at integer multiples of N.

Decimation extracts every N-th sample from a sequence, making the new sequence more efficient.

The Fourier transform of...