The Discrete Wavelet Transform

The discrete wavelet transform computes the wavelet coefficients $d_j[k]$ at resolution $j$ from the scaling coefficients $c_{j-1}[k]$ at resolution $j-1$

Identify which of the following quantities are needed to compute the discrete wavelet transform.

The inverse discrete wavelet transform calculates the scaling coefficients $c_j[k]$ at resolution $j$ from the scaling coefficients $c_{j-1}[k]$ at resolution $j-1$ and the wavelet coefficients $d_j[k]$ at resolution $j$.

If a signal $x(t)$ is sampled sufficiently densely, then we may approximate the scaling coefficients at the highest resolution by samples of the signal.