This book is based on the proceedings of the first I.M.A. International Conference on Mathematics in Signal Processing, the purpose of which was to bring together mathematicians and signal processing experts to explore the many areas of mutual interest and identify fruitful avenues for further research. The rich variety of papers presented here is clear evidence that this goal was achieved. The contributors' findings are divided into six categories: Signal Analysis and Modelling; Spectral Analysis; Inverse Problems; Image Reconstruction; Numerical Algorithms and Architectures; and Adaptive Techniques. A wealth of new ideas and interesting reading is presented for mathematicians, scientists, and engineers working in signal processing.Durrani, T. S. is the author of 'Mathematics in Signal Processing', published 1987 under ISBN 9780198536130 and ISBN 0198536135.