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In order to determine the spatial distribution, Galactic model parameters andluminosity function of cataclysmic variables (CVs), a $J$-band magnitudelimited sample of 263 CVs has been established using a newly constructedperiod-luminosity-colours (PLCs) relation which includes $J$, $K_{s}$ and$W1$-band magnitudes in 2MASS and WISE photometries, and the orbital periods ofthe systems. This CV sample is assumed to be homogeneous regarding to distancesas the new PLCs relation is calibrated with new or re-measured trigonometricparallaxes. Our analysis shows that the scaleheight of CVs is increasingtowards shorter periods, although selection effects for the periods shorterthan 2.25 h dramatically decrease the scaleheight: the scaleheight of thesystems increases from 192 pc to 326 pc as the orbital period decreases from 12to 2.25h. The $z$-distribution of all CVs in the sample is well fitted by anexponential function with a scaleheight of 213$^{+11}_{-10}$ pc. However, wesuggest that the scaleheight of CVs in the Solar vicinity should be $\sim$300pc and that the scaleheights derived using the sech$^2$ function should be alsoconsidered in the population synthesis models. The space density of CVs in theSolar vicinity is found 5.58(1.35)$\times 10^{-6}$ pc$^{-3}$ which is in therange of previously derived space densities and not in agreement with thepredictions of the population models. The analysis based on the comparisons ofthe luminosity function of white dwarfs with the luminosity function of CVs inthis study show that the best fits are obtained by dividing the luminosityfunctions of white dwarfs by a factor of 350-450.

Galactic model parameters of cataclysmic variables: Results from a new absolute magnitude calibration with 2MASS and WISE