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6.1.1 Graphical Convolution The graphical presentation of the convolution integral helps in the understanding of every step in the convolution procedure. According to the definition integral, the convolution procedure involves the following steps: Step 1: Apply the convolution duration property to identify intervals in which the convolution is equal to zero. Step 2: Flip about the vertical axis one of the signals (the one that has a simpler form (shape) since the commutativity holds), that is, represent one of the signals in the time scale -r. Step 3: Vary the parameter t from -0o to ∞, that is, slide the flipped signal from the left to the right, look for the intervals where it overlaps with the other signal, and evaluate the integral of the product of two signals in the corresponding intervals. Example 6.4: Consider two rectangular pulses given in Figure 6.1. Figure 6.1: Two rectangular signals

6.1.1 Graphical Convolution The graphical presentation of the convolution integral helps in the understanding of every step in the convolution procedure. According to the definition integral, the convolution procedure involves the following steps: Step 1: Apply the convolution duration property to identify intervals in which the convolution is equal to zero. Step 2: Flip about the vertical axis one of the signals (the one that has a simpler form (shape) since the commutativity holds), that is, represent one of the signals in the time scale -r. Step 3: Vary the parameter t from -0o to ∞, that is, slide the flipped signal from the left to the right, look for the intervals where it overlaps with the other signal, and evaluate the integral of the product of two signals in the corresponding intervals. Example 6.4: Consider two rectangular pulses given in Figure 6.1. Figure 6.1: Two rectangular signals

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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6.1.1 Graphical Convolution The graphical presentation of the convolution integral helps in the understanding of every step in the convolution procedure. According to the definition integral, the convolution procedure involves the following steps: Step 1: Apply the convolution duration property to identify intervals in which the convolution is equal to zero. Step 2: Flip about the vertical axis one of the signals (the one that has a simpler form (shape) since the commutativity holds), that is, represent one of the signals in the time scale -r. Step 3: Vary the parameter t from -0o to ∞, that is, slide the flipped signal from the left to the right, look for the intervals where it overlaps with the other signal, and evaluate the integral of the product of two signals in the corresponding intervals. Example 6.4: Consider two rectangular pulses given in Figure 6.1. 의 Figure 6.1: Two rectangular signals
Transcribed Image Text:6.1.1 Graphical Convolution The graphical presentation of the convolution integral helps in the understanding of every step in the convolution procedure. According to the definition integral, the convolution procedure involves the following steps: Step 1: Apply the convolution duration property to identify intervals in which the convolution is equal to zero. Step 2: Flip about the vertical axis one of the signals (the one that has a simpler form (shape) since the commutativity holds), that is, represent one of the signals in the time scale -r. Step 3: Vary the parameter t from -0o to ∞, that is, slide the flipped signal from the left to the right, look for the intervals where it overlaps with the other signal, and evaluate the integral of the product of two signals in the corresponding intervals. Example 6.4: Consider two rectangular pulses given in Figure 6.1. 의 Figure 6.1: Two rectangular signals
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