A method is provided for generating a frequency stable wavelet. Initially, a first sine wave is generated having a first frequency. Then, a half sine wave window is generated having a window frequency. The first sine wave and the half sine wave window are then mixed to create the frequency stable wavelet. In this process the sine wave has a frequency greater than the half sine wave window so that the half sine wave window covers more than a single sine pulse. The half sine wave window can be created by generating a second sine wave having a second frequency that is twice the window frequency, and then fully rectifying the second sine wave. The wavelets created in this manner can be used for a variety of purposes, including correlating with a received signal or transmitting as a wireless signal.