This is a collection of papers from the IMA conference on Mathematics in Signal Processing. Signal processing is an important industrial area for the application of mathematical concepts - it has recently been fuelled by developments in mobile communications, multimedia systems and digital TV. This collection of papers presents a good coverage of current activity on this subject worldwide and is of interest to those in industry carrying out research into signal processing for communications, sonar, radar, navigation and biomedical applications, and to academic mathematicians identifying new mathematical problems.