It is well known from theory that a signal can be expressed as the sum of possibly infinite series of sines and cosines. This sum is also referred to as an expansion. The big disadvantage of an expansion however is that it has only frequency resolution and no time resolution. This means that although we might be able to determine all the frequencies present in a signal, we do not know when they are present. To overcome this problem in the past decades, several solutions have been developed which are more or less able to represent a signal in the time and frequency at the same time. The idea behind these time-frequency joint representations is to cut the signal of interest into several parts and then analyze the parts separately.

My Ideal Person It is well known from theory that a signal can be expressed as the sum of possibly infinite series of sines and cosines. This sum is also referred to as an expansion. The big disadvantage of an expansion however is that it has only frequency resolution and no time resolution. This means that although we might be able to determine all the frequencies present in a signal, we do not know when they are present. To overcome this problem in the past decades, several solutions have been developed which are more or less able to represent a signal in the time and frequency at the same time. The idea behind these time-frequency joint representations is to cut the signal of interest into several parts and then analyze the parts separately.