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 - and has been fuelled by developments in mobile communications, multimedia systems and digital TV. This collection of papers presents coverage of activity on this subject worldwide and should be 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 mathematical problems.