K mitra the unwrapped phase function in matlab the

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Unformatted text preview: 4 2 0 -2 24 Copyright © 2005, S. K. Mitra 0.008 −0.033e − jω + 0.05e − j 2 ω −0.033e − j 3ω + 0.008e − j 4 ω Phase, radians • In numerical computation, when the computed phase function is outside the range [− π, π] , the phase is computed modulo 2 π , to bring the computed value to this range • Thus. the phase functions of some sequences exhibit discontinuities of 2 π radians in the plot -4 0 0.2 0.4 0.6 ω/π 0.8 1 Copyright © 2005, S. K. Mitra 4 The Unwrapped Phase Function The Unwrapped Phase Function • In such cases, often an alternate type of phase function that is continuous function of ω is derived from the original phase function by removing the discontinuities of 2π • Process of discontinuity removal is called unwrapping the phase • The unwrapped phase function will be denoted as θc (ω) • In MATLAB, the unwrapping can be implemented using the M-file unwrap • The unwrapped phase function of the DTFT of previous page is shown below 25 Unwrapped Phase Function Phase, radians 0 -2 -4 -6 -8 0 0.2 θ(ω) = arg{H (e 1...
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