Multiplying Mag/Phase representations is easy; adding them is hard. The opposite is true for the Re/Im representation. So some of your representation choice de

Multiplying Mag/Phase representations is easy; adding them is hard. The opposite is true for the Re/Im representation. So some of your representation choice depends on what you're doing. If you're multiplying two FTs (i.e. to perform convolution in the spatial or time domain) then Mag/Phase is easier. If you're adding signals together, Re/Im is easier.