Walsh

Can the Walsh Hadamard transform be computed for non power of 2 sizes?

Can the Walsh Hadamard transform be computed for non power of 2 sizes?
  1. Which values are generated by Walsh Hadamard transform?
  2. How is Hadamard transform calculated?
  3. What is the difference between Walsh and Hadamard transform?
  4. What are the properties of Walsh transform?

Which values are generated by Walsh Hadamard transform?

The Walsh-Hadamard transform returns sequency values. Sequency is a more generalized notion of frequency and is defined as one half of the average number of zero-crossings per unit time interval.

How is Hadamard transform calculated?

The Hadamard transform Hm is a 2m × 2m matrix, the Hadamard matrix (scaled by a normalization factor), that transforms 2m real numbers xn into 2m real numbers Xk.

What is the difference between Walsh and Hadamard transform?

In the generalized form Walsh transform and the Walsh Hadamard transform are different so far as the kernel composition is concerned as they are ordered differently. The generalized Walsh kernel is asymmetric, whereas the generalized Hadamard kernel is symmetric.

What are the properties of Walsh transform?

Walsh functions are rectangular or square waveforms with values of -1 or +1. An important characteristic of Walsh functions is sequency which is determined from the number of zero-crossings per unit time interval. Every Walsh function has a unique sequency value.

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