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5 a) Consider the sample sequence {5000, 5000, 5000, 5000, -5000, -5000, -5000, -5000}. These are samples of a square wave with a period of eight samples or 1ms at 16 KHz sampling frequency. What are the sinusoidal frequencies in the output waveform?

5 a) Consider the sample sequence {5000, 5000, 5000, 5000, -5000, -5000, -5000, -5000}. These are samples of a square wave with a period of eight samples or 1ms at 16 KHz sampling frequency. What are the sinusoidal frequencies in the output waveform?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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**Sample Sequence and Sinusoidal Frequencies:** 5 a) Consider the sample sequence {5000, 5000, 5000, 5000, -5000, -5000, -5000, -5000}. These are samples of a square wave with a period of eight samples or 1 ms at a 16 kHz sampling frequency. **Question:** What are the sinusoidal frequencies in the output waveform? **Explanation:** The sequence represents a square wave with equal durations at positive and negative amplitudes. The fundamental frequency of the square wave can be determined by its period. Given the period is 1 ms at a 16 kHz sampling frequency, the fundamental frequency is 1 kHz. Square waves are composed of odd harmonics; therefore, the sinusoidal frequencies include 1 kHz, 3 kHz, 5 kHz, and so on.
Transcribed Image Text:**Sample Sequence and Sinusoidal Frequencies:** 5 a) Consider the sample sequence {5000, 5000, 5000, 5000, -5000, -5000, -5000, -5000}. These are samples of a square wave with a period of eight samples or 1 ms at a 16 kHz sampling frequency. **Question:** What are the sinusoidal frequencies in the output waveform? **Explanation:** The sequence represents a square wave with equal durations at positive and negative amplitudes. The fundamental frequency of the square wave can be determined by its period. Given the period is 1 ms at a 16 kHz sampling frequency, the fundamental frequency is 1 kHz. Square waves are composed of odd harmonics; therefore, the sinusoidal frequencies include 1 kHz, 3 kHz, 5 kHz, and so on.
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