“…Notably, these proxies tend to attribute an excessive power to low-frequencies, but the error is clearly heterogeneous across filters, with the BP filter performing (by construction) better than all other filters, the HP filter offering an 'intermediate' performance, and others -among which the CBO filter -overemphazizing the relevance of low-frequency fluctuations for the business cycle. 8 In general, problems of leakage (loss of power at the edges of the business cycle frequency band) and compression (increase of power in the middle of the band) are pervasive, a result already pointed out by, among others, Canova (1998), Canova (2007 chapter 3), Canova (2009a), Proietti (2009) and Canova and Ferroni (2011).…”