<p>The quaternion linear canonical wavelet transform has been proven to be an effective and efficient time-frequency analyzing tool for the areas of optics and signal processing. In recent years, researchers have become interested in biquaternion, a more generalized algebra of quaternion. This paper proposes a new transform called the biquaternion linear canonical wavelet transform. The multiplication of biquaternion algebra is not commutative and therefore there are three different kinds of the biquaternion linear canonical wavelet transforms. Biquaternion linear canonical wavelet transforms include those with left sided, right sided and two sided. These are extensions of complex linear canonical transforms. We first introduce the notion of right sided biquaternion linear canonical wavelet transform and then establish the relationship between the three types of biquaternion linear canonical wavelet transforms. Based on right sided biquaternion linear canonical wavelet transform (RBiQLCWT), some fundamental properties associated with the novel transform are derived. Furthermore, convolution and correlation theorems for RBiQLCWT are studied. Also, Heisenberg uncertainty principle for RBiQLCWT is established. Finally some potential applications of the novel transform are presented.</p>