Fourier space comparison of several AM filters and wavelet filters, expressed as a function of wave number k in arcmin⁻¹ and filter radius in arcmin. The dotted blue line (upper panel) represents the S96 filter, the dash-dotted red and purple lines (middle panels) represent the TANH and J04 filters, and the dashed green line (lower panel) corresponds to the M18 filter. The solid lines show the different wavelet filters: the teal, green, orange, and red light lines correspond to the W2, W3, W4, and W5 wavelet filters with radii of , , , and respectively. For comparison purposes, the J04 and M18 filters are forced to the same amplitude as the W4 function to illustrate their behaviour in terms of filter radius.