Downsampling

When considering a sampled sequence with zero values between sampling instants, one can replace it by taking every N-th value of the sequence. At these integer multiples of N, the original and sampled sequences coincide. This process, known as decimation, involves extracting every N-th sample from a sequence, thereby creating a more efficient se...

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...