Design a first-order, strictly causal, low-pass DT filter to recover a low-frequency sensor signal, corrupted by high-frequency noise. The signal can contain frequencies up to 1 Hz, and the noise has frequencies above 1 kHz. The sampling frequency is 10 kHz, and you may assume that there is no aliasing. If the maximum amplitude distortion allowed for the signal is 1%, what is the worst-case attenuation of the noise signal?