Fourier coefficients of power-law devices

✍ Scribed by Paul Penfield Jr

• Publisher: Elsevier Science
• Year: 1962
• Tongue: English
• Weight: 665 KB
• Volume: 273
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(62)90644-0

✦ Synopsis

A definite integral often used in evaluating Fourier coefficients of power-law devices under sinusoidal excitation is

where a is an exponent characteristic of the device, and/3 is an amplitude factor. In many practical eases this integral can be evaluated in closed form, and when it cannot, there is a rapidly converging series representation. This representation can be used to derive differentiation formulas and recursion relations, and is also ideally suited for numerical calculations. We discuss this representation, give differentiation and recursion relations, and list several of the closed-form sohilions.