ABSTRACT
Analogous to the Zak, the continuous Gabor and wavelet transformations, the ambiguity transformation maps a function of n variables into a function of https://www.w3.org/1998/Math/MathML"> 2 n https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780138752859/46b98bf4-f43d-4c1b-bad9-d831e2ef6414/content/eq8401.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> variables, or more precisely it maps a function in https://www.w3.org/1998/Math/MathML"> L 2 R n https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780138752859/46b98bf4-f43d-4c1b-bad9-d831e2ef6414/content/eq8402.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> into a function in https://www.w3.org/1998/Math/MathML"> L 2 R 2 n https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780138752859/46b98bf4-f43d-4c1b-bad9-d831e2ef6414/content/eq8403.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> . But, unlike the Zak and the continuous Gabor and wavelet transformations, the ambiguity transformation is non-linear.
