This paper investigates the characterization of combustion dynamics behind a V-gutter flame holder for a kerosene/air, turbulent, premixed flame using three mathematical methods. This work compares the application of two traditional methods, Fourier analysis and principle component analysis (PCA), against a new method, wavelet analysis (WA). The comparison focuses primarily on the examination of the characteristic frequencies inherent with flow-flame interactions under a change in inlet Mach number. Experimental data obtained at two inlet Mach numbers were analyzed using all three methods and major conclusions are threefold. First, when applied to each Mach number condition, all three methods reported frequency characteristics that were similar both quantitatively and qualitatively, proving the WA method's viability for extracting the necessary information from the data. Second, the WA method was able to resolve the dynamics of the frequency components in the measurements, which revealed a single, dominant frequency peak for the Mach 0.15 inlet condition, but a much less intense, double frequency oscillation for the Mach 0.20 inlet condition. Third, these applications also demonstrated WA's suitability for practical combustion measurements beyond chemiluminescence, such as its applicability to discrete signals, insensitivity to the choice of wavelet basis and to the target signal extracted from the raw measurements. The results obtained in this work demonstrate the value of the WA method for extracting dynamic, quantitative information from practical combustion measurements.