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What is Complex Number

Encyclopedia of Information Science and Technology, Fourth Edition
Is a number composed by the sum of a real number a and an imaginary number i b , where b is a real number and i is defined as the square root of –1.
Published in Chapter:
Comb Filters Characteristics and Current Applications
Miriam Guadalupe Cruz-Jimenez (Institute INAOE, Mexico), David Ernesto Troncoso Romero (CONACYT at ESCOM-IPN, Mexico), and Gordana Jovanovic Dolecek (Institute INAOE Puebla, Mexico)
Copyright: © 2018 |Pages: 12
DOI: 10.4018/978-1-5225-2255-3.ch522
Abstract
The comb filter is a very popular linear-phase filter due its simplicity, i.e. all its coefficients are equal to unity. As a consequence, it does not require multipliers or coefficients storage. This characteristic makes this filter attractive for many applications, as for example, in decimation, communications, digital audio, among others. However, the comb filter presents passband droop and a poor attenuation in the stopband region. In this proposal, the comb filter characteristics are reviewed and illustrated with one example. Additionally, the selected methods commonly used to improve the magnitude characteristics of a comb filter will be described and illustrated with examples.
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More Results
Comb Filters Characteristics and Applications
A number composed by the sum of a real number a and an imaginary number i × b , where b is a real number and i is defined as the square root of –1.
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Efficient Techniques to Design Low-Complexity Digital Finite Impulse Response (FIR) Filters
A number composed by the sum of a real number a and an imaginary number i b , where b is a real number and i is defined as the square root of –1.
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Complex-Valued Neural Networks
A number of the form a + ib where a and b are real numbers, and i is the imaginary unit such that i2 = – 1. a is called the real part, and b the imaginary part.
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Novel Methods to Design Low-Complexity Digital Finite Impulse Response (FIR) Filters
A number composed by the sum of a real number a and an imaginary number i b , where b is a real number and i is defined as the square root of –1.
Full Text Chapter Download: US $37.50 Add to Cart
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