The general psak among sefardim, at least in Eretz Yisrael, has been for the women to not wear wigs as hair coverings, but to wear tichels of various styles. Some do wear wigs, and I am sure it is supported by some rabbonim, but the general psak has been against wigs.

Rav Ofir Malka, a sefardi dayan and posek, has recently paskened in a shiur in Ashdod that a woman who gets a new wig should make the bracha of Shehecheyanu, made upon the joy of acquiring something new. This was surprising to the community and local rav, Rav Mashanya, stopped the shiur in protest.

When Rav Shlomo Ben Shimon, a Sefardic former Av Beis Din Hagadol was asked the same question, for confirmation, he scoffed and said a goy should make the bracha - a play on words of the hebrew word for a wig being "peah nochrit".

It seems to be a controversial psak.