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Assertion (A): Assertion: A higher sampling rate always improves a pulse code system's quality.

Reason (R): Reason: A higher rate reduces the quantisation noise for a given word length.

Select the correct answer from the options below.

  • A.Both A and R are true, and R is the correct explanation of A
  • B.A is true but R is false
  • C.A is false but R is true
  • D.Both A and R are true, but R is not the correct explanation of A

Answer: D

Both statements are defensible but the reason does not explain the assertion: a higher rate eases the anti-alias filter and pushes the spectral repeats further apart, but quantisation noise depends on the step size and hence on the word length, not on the rate. Rate and resolution are independent levers on quality, and confusing them leads to spending bit rate where word length was wanted.

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