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3) Fourier transform principle relates closely to the signal that can produce a sound such as piano, violin etc. The creation sound of recording is grouped by the different frequencies and amplitudes of sine and cosine waves. All of the waves are controlled and manipulated in an appropriate system in which the signal recording is flattened. The combination of sine and cosine is synthesized to produce the various sounds of instruments that corresponds to the Fourier implementation. Several properties of continuous time have been studied to perform the Fourier Transform for the various signals. Please answer the following question according to the time-domain signal as shown in Figure 3.

3) Fourier transform principle relates closely to the signal that can produce a sound such as piano, violin etc. The creation sound of recording is grouped by the different frequencies and amplitudes of sine and cosine waves. All of the waves are controlled and manipulated in an appropriate system in which the signal recording is flattened. The combination of sine and cosine is synthesized to produce the various sounds of instruments that corresponds to the Fourier implementation. Several properties of continuous time have been studied to perform the Fourier Transform for the various signals. Please answer the following question according to the time-domain signal as shown in Figure 3.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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3) Fourier transform principle relates closely to the signal that can produce a sound such as piano, violin etc. The creation sound of recording is grouped by the different frequencies and amplitudes of sine and cosine waves. All of the waves are controlled and manipulated in an appropriate system in which the signal recording is flattened. The combination of sine and cosine is synthesized to produce the various sounds of instruments that corresponds to the Fourier implementation. Several properties of continuous time have been studied to perform the Fourier Transform for the various signals. Please answer the following question according to the time-domain signal as shown in Figure 3. x(t) t 2 2 Figure 3: Time domain signal a) Determine the frequency domain if the time range (positive and negative) of the signal is multiplied with eight. State the related property of continuous time for your answer. Prove the answer by using two methods; 1) Fourier Transform simplified method and 2) Fourier Transform Formula. b) What is the justification of frequency domain if the time is reduced into another half of the real value? Perform the requirement analysis to validate the answer. and t + 1 1 c) If the signal is placed on the right plane with the time range between t - expect the new frequency domain and list the related property of continuous time for your answer. Solve the problem by using simplified method. 4
Transcribed Image Text:3) Fourier transform principle relates closely to the signal that can produce a sound such as piano, violin etc. The creation sound of recording is grouped by the different frequencies and amplitudes of sine and cosine waves. All of the waves are controlled and manipulated in an appropriate system in which the signal recording is flattened. The combination of sine and cosine is synthesized to produce the various sounds of instruments that corresponds to the Fourier implementation. Several properties of continuous time have been studied to perform the Fourier Transform for the various signals. Please answer the following question according to the time-domain signal as shown in Figure 3. x(t) t 2 2 Figure 3: Time domain signal a) Determine the frequency domain if the time range (positive and negative) of the signal is multiplied with eight. State the related property of continuous time for your answer. Prove the answer by using two methods; 1) Fourier Transform simplified method and 2) Fourier Transform Formula. b) What is the justification of frequency domain if the time is reduced into another half of the real value? Perform the requirement analysis to validate the answer. and t + 1 1 c) If the signal is placed on the right plane with the time range between t - expect the new frequency domain and list the related property of continuous time for your answer. Solve the problem by using simplified method. 4
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