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Frequency Domain Analysis of Continuous-Time Signals and Systems

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Abstract

The continuous-time signals and systems are often characterized conveniently in a transform domain. This chapter describes the transformations known as Fourier series and Fourier transform which convert time-domain signals into frequency-domain (or spectral) representations. The frequency domain representation of continuous-time signals are described along with the conditions for the existence of Fourier series for periodic signals and Fourier transform for nonperiodic signals and their properties. Finally, the frequency response of continuous-time systems is discussed.

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Further Reading

  1. Lanczos, C.: Discourse on Fourier Series. Oliver Boyd, London (1966)

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  2. Körner, T.W.: Fourier Analysis. Cambridge University Press, Cambridge (1989)

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  3. Walker, P.L.: The Theory of Fourier Series and Integrals. Wiley, New York (1986)

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  4. Churchill, R.V., Brown, J.W.: Fourier Series and Boundary Value Problems, 3rd edn. McGraw-Hill, New York (1978)

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  5. Papoulis, A.: The Fourier Integral and Its Applications. McGraw-Hill, New York (1962)

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  6. Bracewell, R.N.: Fourier Transform and Its Applications, rev, 2nd edn. McGraw-Hill, New York (1986)

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  7. Morrison, N.: Introduction to Fourier Analysis. Wiley, New York (1994)

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  8. Lathi, B.P.: Linear Systems and Signals, 2nd edn. Oxford University Press, New York (2005)

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  9. Oppenheim, A.V., Willsky, A.S.: Signals and Systems. Englewood Cliffs, NJ, Prentice- Hall (1983)

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Authors and Affiliations

  1. Department of Electronics and Communication Engineering, Vasavi College of Engineering (Affiliated to Osmania University), Hyderabad, Telangana, India

    K. Deergha Rao

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  1. K. Deergha Rao
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Rao, K.D. (2018). Frequency Domain Analysis of Continuous-Time Signals and Systems. In: Signals and Systems. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-68675-2_3

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