how to correctly normalize outputs

[MultiTrickFox]

given the basic conversion:
cqt = CQT_nsgt(numocts, binsoct, mode="matrix_complete", fs=fs, audio_len=Ls, device="cpu", dtype=torch.float32)
coeffs = cqt.fwd(data)
data_ = cqt.bwd(coeffs)

checking the coeffs array seems its not normalized;
print(coeffs.real.min(), coeffs.real.max())

tensor(-101.7243) tensor(140.4326)

Is there a way to quickly and correctly fix this, including being used in bwd() later on too..