Finding the Frequency Response

Think of the filter expressed by Eq.(1.1) as a ``black box'' as depicted in Fig.1.5. We want to know the effect of this black box on the spectrum of , where represents the entire input signal (see §A.1).

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Subsections

• Sine-Wave Analysis
• Mathematical Sine-Wave Analysis
• Amplitude Response
• Phase Response

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written by Julius Orion Smith III
Julius Smith's background is in electrical engineering (BS Rice 1975, PhD Stanford 1983). He is presently Professor of Music and Associate Professor (by courtesy) of Electrical Engineering at Stanford's Center for Computer Research in Music and Acoustics (CCRMA), teaching courses and pursuing research related to signal processing applied to music and audio systems. See http://ccrma.stanford.edu/~jos/ for details.