Which of the following condition is true?(a) N ≤ \(\frac{log⁡(\frac{1}{k})}{log⁡(\frac{1}{d})}\)(b) N ≤ \(\frac{log⁡(k)}{log⁡(d)}\)(c) N ≤ \(\frac{log⁡(d)}{log⁡(k)}\)(d) N ≤ \(\frac{log⁡(\frac{1}{d})}{log⁡(\frac{1}{k})}\)I had been asked this question in an interview for job.I'm obligated to ask this question of Design of Low Pass Butterworth Filters topic in division Digital Filters Design of Digital Signal Processing

Which of the following condition is true?(a) N ≤ \(\frac{log⁡(\fra

1.	Which of the following condition is true?(a) N ≤ \(\frac{log⁡(\frac{1}{k})}{log⁡(\frac{1}{d})}\)(b) N ≤ \(\frac{log⁡(k)}{log⁡(d)}\)(c) N ≤ \(\frac{log⁡(d)}{log⁡(k)}\)(d) N ≤ \(\frac{log⁡(\frac{1}{d})}{log⁡(\frac{1}{k})}\)I had been asked this question in an interview for job.I'm obligated to ask this question of Design of Low Pass Butterworth Filters topic in division Digital Filters Design of Digital Signal Processing
Answer» RIGHT choice is (d) N ≤ \(\FRAC{log⁡(\frac{1}{d})}{log⁡(\frac{1}{k})}\) To elaborate: If ‘d’ is the discrimination factor and ‘K’ is the SELECTIVITY factor, then N ≤ \(\frac{log⁡(\frac{1}{d})}{log⁡(\frac{1}{k})}\)

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